关于切片环面不变量取的值

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2022-02-28 DOI:10.1017/s0305004123000403

P. Feller, Lukas Lewark, A. Lobb

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引用次数: 3

摘要

研究了片环面不变量空间。特别地，我们用稳定的光滑片属来描述片环面不变量在给定结上可能取的一组值。我们的研究揭示了局部Thom猜想的解析意味着片环面不变量的存在，而不必诉诸结同调理论的任何显式构造。

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On the values taken by slice torus invariants

We study the space of slice torus invariants. In particular we characterise the set of values that slice torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conjecture implies the existence of slice torus invariants without having to appeal to any explicit construction from a knot homology theory.

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来源期刊

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.